Skip to main content
SpringerLink
Log in

e to the A, in a New Way, Some More to Say

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

Expressions are given for the exponential of a Hermitian matrix, A. Replacing A by iA these are explicit formulas for the Fourier transform of eiA. They extend to any size A the previous results for the 2×2, 3×3, and 4×4 cases. The expressions are elegant and should prove useful.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Nelson, E.: Operants: A functional calculus for non-commuting operators, In: (F. E. Browder (ed.), Functional Analysis and Related Fields, Proc. Conf. in honor of Professor Marshal Stone (Univ. of Chicago, May 1968), Springer, New York, 1970, pp. 172–187 (MR 54:978).

    Google Scholar 

  2. Jefferies, B.: The Weyl calculus for Hermitian matrices, Proc. Amer. Math. Soc. 124 (96), 121–128.

  3. Taylor, M. E.: Functions of several self-adjoint operators, Proc. Amer. Math. Soc. 19 (1968), 91–98 (MR 36:3149).

    Google Scholar 

  4. Anderson, R. F. V.: The Weyl functional calculus, J. Funct. Anal. 4 (1969), 240–267 (MR 58:30405).

    Google Scholar 

  5. Federbush, P.: e to the A, in a new way, math-ph/9903006, to be published in the Michigan Math. J.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Michigan, Ann Arbor, MI, 48109-1109, U.S.A.

    Paul Federbush

Authors
  1. Paul Federbush
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Federbush, P. e to the A, in a New Way, Some More to Say. Letters in Mathematical Physics 53, 285–288 (2000). https://doi.org/10.1023/A:1007626222722

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007626222722

Search

Navigation